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Finding the Fourth Proportional to 132,019, 182,197.74 and 72,414.52

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Solution

The fourth proportional to 132,019, 182,197.74 and 72,414.52 is: 99,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019 : 182,197.74 = 72,414.52 : x
  2. Step 2: Convert to fraction form
    132,019/182,197.74 = 72,414.52/x
  3. Step 3: Cross multiply
    132,019x = 182,197.74 × 72,414.52
  4. Step 4: Simplify right side
    132,019x = 13,193,761,887.18
  5. Step 5: Solve for x
    x = 13,193,761,887.18/132,019
  6. Step 6: Final answer
    x = 99,938.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.